Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bn |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
5.7985717577808E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97225887,-43948007966] |
[a1,a2,a3,a4,a6] |
Generators |
[-7071:538510:1] |
Generators of the group modulo torsion |
j |
544630502003833879075024/310708791890691829425 |
j-invariant |
L |
6.3652554593115 |
L(r)(E,1)/r! |
Ω |
0.052029760566783 |
Real period |
R |
3.823085690514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760bj1 15960f1 |
Quadratic twists by: -4 -3 |